Controllability of a class of Volterra equations in Hilbert spaces with completely monotone kernel

Linear systems with persistent memory: An overview of the biblography on controllability

“…There is a large recent literature on controllability of fractional systems (in this case N(t) is weakly singular at t = 0) but we are not going to consider this case. We refer for example to [12,56,115,116,123] and reference therein. We note also that we confine ourselves to review controllability of linear systems.…”